A modified finite-difference time-domain method for solving Maxwell's equations in nonlinear media is presented. This method allows for a finite response time to be incorporated in the medium, physically creating dispersion and absorbtion mechanisms. Our technique models electromagnetic fields in two space dimensions and time, and encompasses both the TEz and TMz set of decoupled field equations. Aspects of an ultra-short pulsed Gaussian beam are studied in a variety of linear and nonlinear environments to demonstrate that the methods developed here can be used efficaciously in the modeling of pulses in complex problem space geometries even when nonlinearities are present.

A modified finite-difference time-domain method for solving Maxwell's equations in nonlinear media is presented. This method allows for a finite response time to be incorporated in the medium, physically creating dispersion and absorbtion mechanisms. Our technique models electromagnetic fields in two space dimensions and time, and encompasses both the TEz and TMz set of decoupled field equations. Aspects of an ultra-short pulsed Gaussian beam are studied in a variety of linear and nonlinear environments to demonstrate that the methods developed here can be used efficaciously in the modeling of pulses in complex problem space geometries even when nonlinearities are present.

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dc.type

text

en_US

dc.type

Thesis-Reproduction (electronic)

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dc.subject

Engineering, Electronics and Electrical.

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thesis.degree.name

M.S.

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thesis.degree.level

masters

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thesis.degree.discipline

Graduate College

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thesis.degree.discipline

Electrical and Computer Engineering

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thesis.degree.grantor

University of Arizona

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dc.contributor.advisor

Ziolkowski, Richard W.

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dc.identifier.proquest

1351364

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dc.identifier.bibrecord

.b26868210

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